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Finding the Fourth Proportional to 471,390.81, 707,092.70 and 134,431.50

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Solution

The fourth proportional to 471,390.81, 707,092.70 and 134,431.50 is: 201,649.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,390.81 : 707,092.70 = 134,431.50 : x
  2. Step 2: Convert to fraction form
    471,390.81/707,092.70 = 134,431.50/x
  3. Step 3: Cross multiply
    471,390.81x = 707,092.70 × 134,431.50
  4. Step 4: Simplify right side
    471,390.81x = 95,055,532,300.05
  5. Step 5: Solve for x
    x = 95,055,532,300.05/471,390.81
  6. Step 6: Final answer
    x = 201,649.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.